The Case of Quantum Mechanics Mathematizing Reality: the “Superposition” of Mathematically Modelled and Mathematical Reality: Is There Any Room for Gravity?

EasyChair Preprint 4105

Abstract

A case study of quantum mechanics is investigated in the framework of the philosophical opposition “mathematical model – reality”. All classical science obeys the postulate about the fundamental difference of model and reality, and thus distinguishing epistemology from ontology fundamentally. The theorems about the absence of hidden variables in quantum mechanics imply for it to be “complete” (versus Einstein’s opinion). That consistent completeness (unlike arithmetic to set theory in the foundations of mathematics in Gödel’s opinion) can be interpreted furthermore as the coincidence of model and reality. The paper discusses the option and fact of that coincidence it its base: the fundamental postulate formulated by Niels Bohr about what quantum mechanics studies (unlike all classical science). Quantum mechanics involves and develops further both identification and disjunctive distinction of the global space of the apparatus and the local space of the investigated quantum entity as complementary to each other. This results into the analogical complementarity of model and reality in quantum mechanics. The apparatus turns out to be both absolutely “transparent” and identically coinciding simultaneously with the reflected quantum reality.

Keyphrases: General Relativity, Model and reality, confinement, entanglement, quantum gravity, quantum information

@booklet{EasyChair:4105,
  author    = {Vasil Penchev},
  title     = {The Case of Quantum Mechanics Mathematizing Reality: the “Superposition” of Mathematically Modelled and Mathematical Reality: Is There Any Room for Gravity?},
  howpublished = {EasyChair Preprint 4105},
  year      = {EasyChair, 2020}}